3.8 is what percent of 1.406 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1.406 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1.406, so we can write it down as 100%=1.406.
4. We know, that x% equals 3.8 of the output value, so we can write it down as x%=3.8.
5. Now we have two simple equations:
1) 100%=1.406
2) x%=3.8
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1.406/3.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.8 is what percent of 1.406

100%/x%=1.406/3.8
(100/x)*x=(1.406/3.8)*x       - we multiply both sides of the equation by x
100=0.37*x       - we divide both sides of the equation by (0.37) to get x
100/0.37=x
270.27027027027=x
x=270.27027027027

now we have:
3.8 is 270.27027027027% of 1.406